Evaluate the indefinite integral 57x+2 - dx Evaluate the indefinite integral 7+x dx

Q: Find a general formula for f("). f(x) = (x+4)-1 (Use symbolic notation and fractions where needed.)

A: Given that the function

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A: Given conditionsx-intercept  ,vertical asymptotes , horizontal asymptote x-intercept  ,vertical…

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: √x(t) = −3+² -…

A: Therefore, the required answer is x=16−3​y2+89​y−1627​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the following integrals using partial fraction decomposition, when applicable.

A: 16.51​ln∣x−4∣−51​ln∣x+1∣+Cor,51​ln∣∣∣​x+1x−4​∣∣∣​+C17.2ln∣x+2∣−23​ln∣2x+1∣+CExplanation:Step 1:Step…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Global maximum at (2.5, 5) of 31 Global minimum at (0, 0) of 21Explanation: Given that, maximum : In…

Q: Use the linear approximation of f(x, y) = 3x+2y at (0,0) to estimat f(-0.02, 0.03)≈

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Q: Σ COS n=1 пп 2

A: Given that the series is

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Q: ym 2x²+2x+3 4x-4x

A: The given function is:Find it's horizontal asymptote.

Q: determine the laplace transform of; 3e^2t cosh 4t

A: The objective of this question is to find the Laplace transform of the function 3e^(2t) cosh(4t).…

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

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Q: Given that y = x² log2(8 - 7x), find dy dx = dy dx

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Q: Find the smallest positive value for for which the tangent line to the curve r = 8 = Question Help:…

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Q: Let A be an augmented matrix for a system of three linear equations in three unknowns. Suppose that…

A: • The system has infinitely many solutions.• The solution set…

Q: Practice

A: The objective of this question is to identify the midline, amplitude, phase shift, and period of the…

Q: Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the…

A: (a) degree of the function=5(B) 4 distinct Zeroes = 0,25​,−i,i         In which two are real zeroes…

Q: Consider the function f(x) = 2x³ − 12x² − 72x + 9 on the interval [−5, 7]. Find the average or mean…

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Q: 3 2 2(x + y)³ -✓ = 15 X

A: 2(x+y)3−y2x=15ddx[2(x+y)3−y2x]=ddx(15)

Q: use the ratio test to determine the convergence or divergence of the series: the sum from n = 0 to n…

A: Given series∑n=0n=∞​(1+n)n3n​  ConvergesExplanation:

Q: Find к for the space curve r(t)=(12 sin t) + (12 cost) j +9tk. K(t)=[ (Type an exact answer, using…

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Q: y- dy dx 3 (1+x) 2 = x³+x-10 X-2 اذا كانت

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Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

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Q: N Find the general solution of this equation: 9y"+6y'+ y =

A: The objective of this question is to find the general solution of the given second order homogeneous…

Q: Solve the given symbolic initial value problem. y''+4y' +13y=38(t-л); y(0)=2, y'(0) =2 y(t) = ☐

A: The given differential equation

Q: ax.)-( Find the centroid of the region shown, not by integration, but by locating the centroids of…

A: In the given region we have one rectangle and one triangle.Region 1 is rectangle and region 2 is…

Q: Consider the logarithmic function: = g(x) 3 log2(1-x) - 6 a) State the range of this function in…

A: a) (−∞,−6)b)  x = 1c) (−∞,1)Explanation:a)To find the range of the function (g(x)=3log2​(1−x)−6),…

Q: x²+5 g(x): if = x+8 *x*-8 ; g(5) x-1 if x=-8

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Q: Evaluate the integral. π/2 0 [5 cos 17t i-4 sin 7t j + sin² 5t k] dt л/2 [5 cos 17t i-4 sin 7t j +…

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Q: Write out the first five terms of the sequence with, [(1-8)] determine whether the sequence…

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Q: Find dy dx if y = √Inx +1. 1 dy dx 2 x √In(x)

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Q: Use the linear approximation to estimate (3.03)³ (1.03)³ ≈

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Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

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Q: Find the equation of the tangent line to the function f(x) = In(6x) at x = 6. (Use symbolic notation…

A: f(x)=ln⁡(6x) at x=6f′(x)=ddxln⁡(6x)Using the chain…

Q: Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k…

A: Answers: 1. The domain of a vector-valued function consists of real numbers. The domain can be all…

Q: Consider the function f(x, y) = x²y + y3³ - 48y. f has a maximum f has a minimum く at (-4√3,0). at…

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Q: For the function f(x)=x^4+3x^3−36x^2−68x+240, find the intervals where f(x)>0 but f′(x)5 C. x5

A: Given:To find:the intervals where f(x)>0 but f′(x)<0.

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Q: Let the function: f: R → (0, ∞), f (x) = ex+3 Show that f is one-to-one correspondence (bijective)…

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Q: The curve y=f(x) is shown below. In which region(s) of x is f(x) increasing? A. −1<x<1, x≠0…

A: given a function f(x)

Q: 5. Find the indicated partial derivative(s). (a) f(x, y) = x4y² - x³y; faxx, fxyx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the curve's unit tangent vector. r(t) ti+ k. Osts3 The curve's unit tangent vector is (++ (k.…

A: The given vector valued curve equation is The unit tangent vector given by

Q: 8) Write the expression -3sinx + 4cosx in the form ksin(x + a) for 0 < a < 2. Round a to three…

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Q: Website Profit The latest demand equation for your gaming website, www.mudbeast.net, is given by…

A: the log-on fee should be $1.15.Thus, the largest possible monthly profit is $321.25.Explanation:Step…

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Q: Find the equation of the tangent plane to the surface x = 6x3 y3+7xy at the point (1,0, 6). z=…

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